What is the Greatest Common Factor of 59372 and 59386?

Greatest common factor (GCF) of 59372 and 59386 is 2.

GCF(59372,59386) = 2

We will now calculate the prime factors of 59372 and 59386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59372 and 59386.

How to find the GCF of 59372 and 59386?

We will first find the prime factorization of 59372 and 59386. After we will calculate the factors of 59372 and 59386 and find the biggest common factor number .

Step-1: Prime Factorization of 59372

Prime factors of 59372 are 2, 14843. Prime factorization of 59372 in exponential form is:

59372 = 2² × 14843¹

Step-2: Prime Factorization of 59386

Prime factors of 59386 are 2, 23, 1291. Prime factorization of 59386 in exponential form is:

59386 = 2¹ × 23¹ × 1291¹

Step-3: Factors of 59372

List of positive integer factors of 59372 that divides 59372 without a remainder.

1, 2, 4, 14843, 29686

Step-4: Factors of 59386

List of positive integer factors of 59386 that divides 59372 without a remainder.

1, 2, 23, 46, 1291, 2582, 29693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59372 and 59386. The biggest common factor number is the GCF number.
So the greatest common factor 59372 and 59386 is 2.

Also check out the Least Common Multiple of 59372 and 59386